Hardy’s inequality for functions of several complex variables
We obtain a generalization of Hardy’s inequality for functions in the Hardy space H1 (Bd), where Bd is the unit ball {z = (z1, …, zd) ∈ In particular, we construct a function φ on the set of d –dimensional multi-indices {n = (n1, …, nd) | ni ∈ {0}} and prove that if f(z) = Σ anzn is a function...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2017
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| Online Access: | http://journalarticle.ukm.my/11358/1/01%20Vansak%20Sam.pdf http://journalarticle.ukm.my/11358/ http://www.ukm.my/jsm/english_journals/vol46num9_2017/contentsVol46num9_2017.html |
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| Institution: | Universiti Kebangsaan Malaysia |
| Language: | English |
| Summary: | We obtain a generalization of Hardy’s inequality for functions in the Hardy space H1 (Bd), where Bd is the unit ball
{z = (z1, …, zd) ∈ In particular, we construct a function φ on the set of d –dimensional multi-indices
{n = (n1, …, nd) | ni ∈ {0}} and prove that if f(z) = Σ anzn is a function in H1 (Bd), then ≤ Moreover, our proof shows that this inequality is also valid for functions in Hardy space on the polydisk H1 (Bd). |
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